137179122129 has 45 divisors (see below), whose sum is σ = 238419089337. Its totient is φ = 78374736216.

The previous prime is 137179122097. The next prime is 137179122131. The reversal of 137179122129 is 921221971731.

The square root of 137179122129 is 370377.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 137179122129 - 2⁵ = 137179122097 is a prime.

It is a super-2 number, since 2×137179122129² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (137179122629) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 23330812 + ... + 23336690.

Almost surely, 2^137179122129 is an apocalyptic number.

137179122129 is the 370377-th square number.

137179122129 is the 185189-th centered octagonal number.

It is an amenable number.

137179122129 is a deficient number, since it is larger than the sum of its proper divisors (101239967208).

137179122129 is an frugal number, since it uses more digits than its factorization.

137179122129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11784 (or 5889 counting only the distinct ones).

The product of its digits is 95256, while the sum is 45.

The spelling of 137179122129 in words is "one hundred thirty-seven billion, one hundred seventy-nine million, one hundred twenty-two thousand, one hundred twenty-nine".